An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?
Answers
Answer:
82.62
Step-by-step explanation:
Mean score (μ) = 80
Standard deviation (σ) = 5
The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.
For any given score, X, the z-score can be determined by:
For z = 0.525:
A raw score of approximately 82.62 corresponds to the 70th percentile.
Answer: the raw score that corresponds to the 70th percentile is 82.625
Step-by-step explanation:
Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = aptitude test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 80
σ = 5
We want to find the raw score that corresponds to the 70th percentile.
70th percentile = 70/100 = 0.7
Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.
Therefore,
0.525 = (x - 80)/5
5 × 0.525 = x - 80
2.625 = x - 80
x = 2.625 + 80
x = 82.625
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Answers
Answer:
To get to the ice cream store, Molly went 1 unit right and 7 units down. This means that she moved 1 unit to the right from her original position and 7 units down from her original position.
So, to find Molly's starting position, we need to move 1 unit to the left from the ice cream store and 7 units up from the ice cream store.
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Step-by-step explanation:
Answers
Answers
Answer:
-2
Step-by-step explanation:
- Midpoint is the half of the sum of endpoints
Point A = 1
Point B = - 5
Midpoint :
- (1 + (-5))/2 = -4/2 = -2
y+5 = 2x
3y + 6x = -3
Answers
Answer:
(1, -3)
Step-by-step explanation:
Use Desmos! It's really useful.
Answers
Answer:
A. 1.49
D. √2
E. five thirds
G. - 0.59
Step-by-step explanation:
In order to be a probability, a value must be at least zero, or at most 1:
Evaluating each of the given values:
A. 1.49
1.49 is at least zero but it is greater than one, therefore 1.49 cannot be a probability.
B. 1
1 represents a probability of 100%, therefore this value can be a probability
C. three fifths
Can be a probability
D. √2
Cannot be a probability
E. five thirds
Cannot be a probability
F. 0
0 represents a probability of 0%, therefore this value can be a probability
G. - 0.59
Negative values cannot be probabilities.
H. 0.04
Can be a probability
Final answer:
Probabilities are values ranging from 0 to 1, inclusive. With this in mind, values 5/3, √2, -0.59, and 1.49 cannot be probabilities as they're either below 0 or above 1.
Explanation:
In the field of mathematics, specifically in statistics, a probability represents the likelihood of an event occurring and is always a value between 0 and 1, inclusively. The value 0 means that an event will not happen, whilst 1 means the event is certain to happen. Therefore, any value less than 0 or greater than 1 cannot be a probability.
Given the values: 0.04, 5 divided by 3, 1, 0, 3 divided by 5, √2, negative 0.59, and 1.49, the values that cannot be probabilities are:
- Value 5 divided by 3 (which equals approximately 1.67)
- Value √2 (which equals approximately 1.41)
- Negative 0.59
- 1.49
These numbers do not lie within the range of 0 to 1, and hence, cannot represent probabilities.
Learn more about Probability here:
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